What is the Least Common Multiple of 83854 and 83874?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 83854 and 83874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83854 and 83874, than apply into the LCM equation.

GCF(83854,83874) = 2
LCM(83854,83874) = ( 83854 × 83874) / 2
LCM(83854,83874) = 7033170396 / 2
LCM(83854,83874) = 3516585198

Least Common Multiple (LCM) of 83854 and 83874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83854 and 83874. First we will calculate the prime factors of 83854 and 83874.

Prime Factorization of 83854

Prime Factorization of 83874

Now multiplying the highest exponent prime factors to calculate the LCM of 83854 and 83874.

LCM(83854,83874) = 2¹ × 41927¹ × 3¹ × 7¹ × 1997¹
LCM(83854,83874) = 3516585198